This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A343829 #13 Jun 01 2021 10:51:28
%S A343829 1,587,491,37,103,59,131,67,283,101,691,157,617,593,149,233,683,271,
%T A343829 263,307,577,653,379,257,467,293,21719,541,1721,631,3617,409,839,463
%N A343829 Distinct values of gcd(B(2*j), B(2*j+2)) in the order of their appearance, where B(k) = A027641(k).
%C A343829 Conjecture: all terms greater than 1 are irregular primes (A000928) or a product of irregular primes.
%t A343829 a = Numerator@ BernoulliB@ 2; b = Numerator@ BernoulliB@ 4; k = 6; lst = {}; While[k < 75001, a = b; b = Numerator@ BernoulliB@ k; g = GCD[a, b]; If[ !MemberQ[ lst, g], AppendTo[lst, g]]; k += 2]; lst
%Y A343829 Cf. A000928, A027641, A343745.
%K A343829 nonn,more
%O A343829 1,2
%A A343829 _Robert G. Wilson v_, Apr 30 2021